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Finding the Third Proportional to 514,228,301 and 783,373,686

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Solution

The third proportional to 514,228,301 and 783,373,686 is: 1,193,388,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,228,301 : 783,373,686 = 783,373,686 : x
  2. Step 2: Convert to fraction form
    514,228,301/783,373,686 = 783,373,686/x
  3. Step 3: Cross multiply
    514,228,301x = 783,373,686 × 783,373,686
  4. Step 4: Simplify right side
    514,228,301x = 613,674,331,917,226,624
  5. Step 5: Solve for x
    x = 613,674,331,917,226,624/514,228,301
  6. Step 6: Final answer
    x = 1,193,388,871.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.